Equivalence of Sharp Trudinger-Moser Inequalities in Lorentz-Sobolev Spaces

被引：9
作者：
Tang, Hanli [1 ]
机构：
[1] Beijing Normal Univ, Sch Math Sci, Beijing 100875, Peoples R China
来源：
POTENTIAL ANALYSIS | 2020年 / 53卷 / 01期
基金：
中国国家自然科学基金; 中国博士后科学基金;
关键词：
Critical Trudinger-Moser inequality; Subcritical Trudinger-Moser inequalities; Lorentz-Sobolev spaces; Equivalence; EXTREMAL-FUNCTIONS; UNBOUNDED-DOMAINS; EXISTENCE; OPERATORS; EQUATION;
D O I：
10.1007/s11118-019-09769-9
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
The critical and subcritical Trudinger-Moser inequalities in Lorentz Sobolev space have been studied by Cassani and Tarsi (Asymptot. Anal.64(1-2):29-51,2009), Lu and Tang (Adv. Nonlinear Stud.16(3):581-601,2016). In this paper, we will prove that these critical and subcritical Trudinger-Moser inequalities are actually equivalent and thus extend those equivalence results of Lam et al. (Rev. Mat. Iberoam33(4):1219-1246,2017) into Lorentz Sobolev spaces.
引用
收藏
页码：297 / 314
页数：18
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